A uniform electric field is a field where all of the lines are parallel and equidistant to each other. When there is an electric field caused by a very distant carge, it is uniform over a smal area considering the field lines are near parallel and the difference in field strentgh is neglible over a small dastance. A uniform electric field will always exer a constant force on an object that is charged. If said object is displaced, work will need to be done and energy accumulated to create a force to move it. Electric Potential Energy can be determine by taking the product of the force by the field and its position in said field. Mathematically, in a uniform electric field with a strength of E with a displacement d measured in the direction of E.
The negative sign is required because the displacement of a positive charge to increase the potential energy should come from the opposite direction of the the field.
If the initial and final positions are taken before and after a displacement, the change in potential energy can be found thusly.
Section 2
Electric potential(V) is defined as the electric potential energy per unit charge
or
The relative difference in electrical potential between two points is the potential difference. It is measured in the same way as electric potential, which is in J/C.
[[math]]
\displaystyle\Delta V=\frac{\Delta PE_{electric}}{q}
[[math]] The electric potential at a given point is independent of the charge at that point. The only truly useful part is the electric potential between the two given point.
CHAPTER 18
Section 1
A uniform electric field is a field where all of the lines are parallel and equidistant to each other. When there is an electric field caused by a very distant carge, it is uniform over a smal area considering the field lines are near parallel and the difference in field strentgh is neglible over a small dastance. A uniform electric field will always exer a constant force on an object that is charged. If said object is displaced, work will need to be done and energy accumulated to create a force to move it.
Electric Potential Energy can be determine by taking the product of the force by the field and its position in said field. Mathematically, in a uniform electric field with a strength of E with a displacement d measured in the direction of E.
The negative sign is required because the displacement of a positive charge to increase the potential energy should come from the opposite direction of the the field.
If the initial and final positions are taken before and after a displacement, the change in potential energy can be found thusly.
Section 2
Electric potential(V) is defined as the electric potential energy per unit chargeor
The relative difference in electrical potential between two points is the potential difference. It is measured in the same way as electric potential, which is in J/C.
[[math]]
\displaystyle\Delta V=\frac{\Delta PE_{electric}}{q}
[[math]]
The electric potential at a given point is independent of the charge at that point. The only truly useful part is the electric potential between the two given point.